Estimating and Testing Linear Hypotheses on Parameters in the Log-Linear Model

Abstract

The minimum discrimination information theorem yields minimum discrimination information estimates as members of an exponential family which can be expressed in log-linear additive form. The author illustrates in terms of a particular contingency table, the relations implied by hypotheses and subhypotheses of interest on the values of the natural parameters and random variables of the exponential family, the related moment parameters, and the estimates of cell entries. Computations are carried out using the Deming- Stephan iterative algorithm and its extension by the generalized iterative scaling procedure of Darroch and Ratcliff.

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Document Details

Document Type
Technical Report
Publication Date
May 28, 1973
Accession Number
AD0763461

Entities

People

  • S. Kullback

Organizations

  • George Washington University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Air Force
  • Algorithms
  • Computations
  • Computer Programs
  • Computers
  • Contrast
  • Discrimination
  • Hypotheses
  • Military Research
  • Probability
  • Random Variables
  • Scientific Research
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.